We look at the division of 419980 by 15 
We're looking to find how many times 15 goes into 419980.

Advancing to step 1:
4 divided by 15 is 0 with a remainder of 4.
The number 0 becomes the next digit in our result. 
Result so far: 0.0
Subtract 0 from 4 to get 4.
Bring next digit (1) of the dividend behind the 4 and repeat the process: 41 / 15

Advancing to step 2:
15 can be fit into 41 2 times, resulting in a remainder of 11.
The number 2 becomes the next digit in our result. 
Result so far: 2.0
Deduct 30 from 41 and we're left with 11.
Include the next digit (9) from the dividend after 11, then repeat: 119 / 15

Step 3:
119 divided by 15 is 7 with a remainder of 14.
Use 7 as the next digit of our solution. 
Result so far: 27.0
If we subtract 105 from 119, we get 14.
Grab the next digit (9) from the dividend, add it to 14, then carry on: 149 / 15

Step 4:
When dividing 149 by 15, we get 9 with a remainder of 14.
The number 9 becomes the next digit in our result. 
Result so far: 279.0
If we take 135 away from 149, we end up with 14.
Fetch the next digit (8) from the dividend, attach it to 14 and continue: 148 / 15

Going ahead to step 5:
148 divided by 15 is 9 with a remainder of 13.
Write down 9 as next digit of the result. 
Result so far: 2799.0
If we subtract 135 from 148, we get 13.
Fetch the next digit (0) from the dividend, attach it to 13 and continue: 130 / 15

Moving on to step 6:
When dividing 130 by 15, we get 8 with a remainder of 10.
The number 8 becomes the next digit in our result. 
Result so far: 27998.0
If we take 120 away from 130, we end up with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Advancing to step 7:
15 goes into 100 6 times with a remainder of 10.
Use 6 as the next digit of our solution. 
Result so far: 27998.6
Subtract 90 from 100 to get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
If we divide 100 by 15, we get 6 and a remainder of 10.
Put 6 as the next digit of the answer. 
Result so far: 27998.66
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 27998.66 and a remainder of 0.01.